Relativistic Broadening Near Cyclotron Resonance
Relativistic Broadening Near Cyclotron Resonance
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SOKE APPLICATIONS A. Perpendicular Extraordinary mode In the case of the perpendicular propagation, the dispersion relation (1?) can be factorlzed. It Is more convenient, In this case, to expand directly the extraordinary branch, which reads ^ ^ ^ e^^ + ie_ ^ e^_exp(-2i"//) • ^^^^ rather than developing the second order theory In the manner of Sec. III. Introducing the ordering given In Eq. (9) Into (35). And 2 keeping terms up to order Y|, one obtains n2 = 2 (iO), ^2 2 It Is Important to note ...that the only second order component needed (2 ) for the extraordinary mode Is 6V/» which manifests the convenience of the present coordinate system over the cartesian system, in which every component appearing in the dispersion relation must be evalu- ated to the second order. This component is obtained from the first of Eqs. (8), giving which in the Maxwelllan case and nj| = yields where x^ = -2\/6/ = 2ir|"^ (|n, |/cO - 1 ) . The second term in the right-hand 3 side of (37) is missing in Shkarofsky's "warm" elements .
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To quickly assess the difficulty of the text, read a short excerpt:
SOKE APPLICATIONS A. Perpendicular Extraordinary mode In the case of the perpendicular propagation, the dispersion relation (1?) can be factorlzed. It Is more convenient, In this case, to expand directly the extraordinary branch, which reads ^ ^ ^ e^^ + ie_ ^ e^_exp(-2i"//) • ^^^^ rather than developing the second order theory In the manner of Sec. III. Introducing the ordering given In Eq. (9) Into (35). And 2 keeping terms up to order Y|, one obtains n2 = 2 (iO), ^2 2 It Is Important to note ...that the only second order component needed (2 ) for the extraordinary mode Is 6V/» which manifests the convenience of the present coordinate system over the cartesian system, in which every component appearing in the dispersion relation must be evalu- ated to the second order. This component is obtained from the first of Eqs. (8), giving which in the Maxwelllan case and nj| = yields where x^ = -2\/6/ = 2ir|"^ (|n, |/cO - 1 ) . The second term in the right-hand 3 side of (37) is missing in Shkarofsky's "warm" elements .
What to read after Relativistic Broadening Near Cyclotron Resonance?
You can find similar books in the "Read Also" column, or choose other free books by Kaya Imre to read onlineMoreLess
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